Variational multiscale a posteriori error estimation for systems. Application to linear elasticity

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.11.009 ◽

2015 ◽

Vol 285 ◽

pp. 291-314 ◽

Author(s):

Guillermo Hauke ◽

Diego Irisarri

Keyword(s):

Error Estimation ◽

Linear Elasticity ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Variational Multiscale

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Robust a posteriori error estimation for parameter-dependent linear elasticity equations

Mathematics of Computation ◽

10.1090/mcom/3572 ◽

2020 ◽

Vol 90 (328) ◽

pp. 613-636

Author(s):

Arbaz Khan ◽

Alex Bespalov ◽

Catherine E. Powell ◽

David J. Silvester

Keyword(s):

Error Estimation ◽

Linear Elasticity ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Elasticity Equations ◽

Linear Elasticity Equations ◽

Parameter Dependent

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Adaptive hp-FEM for the contact problem with Tresca friction in linear elasticity: The primal–dual formulation and a posteriori error estimation

Applied Numerical Mathematics ◽

10.1016/j.apnum.2010.03.011 ◽

2010 ◽

Vol 60 (7) ◽

pp. 689-704 ◽

Author(s):

P. Dörsek ◽

J.M. Melenk

Keyword(s):

Contact Problem ◽

Error Estimation ◽

Linear Elasticity ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Dual Formulation ◽

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A posteriori error estimation based on numerical realization of the variational multiscale method

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2008.02.015 ◽

2008 ◽

Vol 197 (45-48) ◽

pp. 3637-3656 ◽

Author(s):

A.H. ElSheikh ◽

S.E. Chidiac ◽

W.S. Smith

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

Multiscale Method ◽

Numerical Realization ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Variational Multiscale Method ◽

A Posteriori Error ◽

Variational Multiscale

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Adaptive Variational Multiscale Methods Based on A Posteriori Error Estimation: Duality Techniques for Elliptic Problems

Lecture Notes in Computational Science and Engineering - Multiscale Methods in Science and Engineering ◽

10.1007/3-540-26444-2_9 ◽

2005 ◽

pp. 181-193 ◽

Author(s):

Mats G. Larson ◽

Axel Målqvist

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Multiscale Methods ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Variational Multiscale ◽

Duality Techniques ◽

Variational Multiscale Methods

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Variational multiscale a posteriori error estimation for systems: The Euler and Navier–Stokes equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2014.10.032 ◽

2015 ◽

Vol 283 ◽

pp. 1493-1524 ◽

Author(s):

Guillermo Hauke ◽

Daniel Fuster ◽

Fernando Lizarraga

Keyword(s):

Error Estimation ◽

Stokes Equations ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Navier Stokes ◽

A Posteriori ◽

Posteriori Error Estimation ◽

Navier Stokes Equations ◽

A Posteriori Error ◽

Variational Multiscale

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A Posteriori Error Estimation for Computational Fluid Dynamics: The Variational Multiscale Approach

Multiscale Methods in Computational Mechanics - Lecture Notes in Applied and Computational Mechanics ◽

10.1007/978-90-481-9809-2_2 ◽

2010 ◽

pp. 19-38 ◽

Author(s):

Guillermo Hauke ◽

Mohamed H. Doweidar ◽

Daniel Fuster

Keyword(s):

Fluid Dynamics ◽

Computational Fluid Dynamics ◽

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Multiscale Approach ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Variational Multiscale

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Adaptive variational multiscale methods based on a posteriori error estimation: Energy norm estimates for elliptic problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2006.08.019 ◽

2007 ◽

Vol 196 (21-24) ◽

pp. 2313-2324 ◽

Author(s):

Mats G. Larson ◽

Axel Målqvist

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Multiscale Methods ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Norm Estimates ◽

Variational Multiscale ◽

Variational Multiscale Methods

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A posteriori error estimation and adaptivity for linear elasticity using the reciprocal theorem

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(97)00220-x ◽

1998 ◽

Vol 156 (1-4) ◽

pp. 351-362 ◽

Author(s):

Fehmi Cirak ◽

Ekkehard Ramm

Keyword(s):

Error Estimation ◽

Linear Elasticity ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

Reciprocal Theorem ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

The Reciprocal Theorem

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Equilibrated Stress Reconstruction and a Posteriori Error Estimation for Linear Elasticity

Novel Finite Element Technologies for Solids and Structures - CISM International Centre for Mechanical Sciences ◽

10.1007/978-3-030-33520-5_3 ◽

2019 ◽

pp. 69-106

Author(s):

Fleurianne Bertrand ◽

Bernhard Kober ◽

Marcel Moldenhauer ◽

Gerhard Starke

Keyword(s):

Error Estimation ◽

Linear Elasticity ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error

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Variational multiscale a-posteriori error estimation for multi-dimensional transport problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2007.12.022 ◽

2008 ◽

Vol 197 (33-40) ◽

pp. 2701-2718 ◽

Author(s):

Guillermo Hauke ◽

Daniel Fuster ◽

Mohamed H. Doweidar

Keyword(s):

Error Estimation ◽

Posteriori Error ◽

A Posteriori Error Estimation ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Variational Multiscale ◽

Transport Problems

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